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Finding the Fourth Proportional to 189.44, 282.88 and 167.36

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Solution

The fourth proportional to 189.44, 282.88 and 167.36 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.44 : 282.88 = 167.36 : x
  2. Step 2: Convert to fraction form
    189.44/282.88 = 167.36/x
  3. Step 3: Cross multiply
    189.44x = 282.88 × 167.36
  4. Step 4: Simplify right side
    189.44x = 47,342.80
  5. Step 5: Solve for x
    x = 47,342.80/189.44
  6. Step 6: Final answer
    x = 249.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.